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11414012430 = 2352379209393
BaseRepresentation
bin10101010000101010…
…00000001000001110
31002110110110220112010
422220111000020032
5141333441344210
65124333522050
7552564335112
oct125025001016
932413426463
1011414012430
114927a04527
122266643326
1310cb933c12
147a3c81742
1546c0be920
hex2a854020e

11414012430 has 64 divisors (see below), whose sum is σ = 28946626560. Its totient is φ = 2874533376.

The previous prime is 11414012429. The next prime is 11414012431. The reversal of 11414012430 is 3421041411.

It is an interprime number because it is at equal distance from previous prime (11414012429) and next prime (11414012431).

It is a junction number, because it is equal to n+sod(n) for n = 11414012397 and 11414012406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414012431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50187 + ... + 159206.

It is an arithmetic number, because the mean of its divisors is an integer number (452291040).

Almost surely, 211414012430 is an apocalyptic number.

11414012430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11414012430 is an abundant number, since it is smaller than the sum of its proper divisors (17532614130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11414012430 is a wasteful number, since it uses less digits than its factorization.

11414012430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209505.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11414012430 its reverse (3421041411), we get a palindrome (14835053841).

The spelling of 11414012430 in words is "eleven billion, four hundred fourteen million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 79 115 138 158 230 237 345 395 474 690 790 1185 1817 2370 3634 5451 9085 10902 18170 27255 54510 209393 418786 628179 1046965 1256358 2093930 3140895 4816039 6281790 9632078 14448117 16542047 24080195 28896234 33084094 48160390 49626141 72240585 82710235 99252282 144481170 165420470 248130705 380467081 496261410 760934162 1141401243 1902335405 2282802486 3804670810 5707006215 11414012430